6a. By the convolution theorem,
6b. Similarly,
7. Take the Laplace transform of both sides, noting that the integral is the convolution of 
and 
.
where 
. Then 
, and
We have the partial fraction decomposition,
Then we can easily compute the inverse transform to solve for f(t) :
<span>f(x) = 2x – 4
</span><span>inverse
x = 2y - 4
2y = x + 4
y = x/2 + 2
answer
inverse
f-1(x) = </span>x/2 + 2
Answer:
Step-by-step explanation:
In each case we find the discriminant b^2 - 4ac.
If the discriminant is negative, we have two unequal, complex roots.
If the discriminant is zero. we have two equal, real roots.
If the discriminant is positive, we have two unequal real roots.
#51: 8v^2 - 12v + 9: the discriminant is (-12)^2 - 4(8)(9) = -144. we have two unequal, complex roots
#52: (-11)^2 - 4(4)(-14) = 121 + 224 = 345. we have two unequal real roots.
#53: (-5)^2 - 4(7)(6) = 25 - 168 (negative). we have two unequal, complex roots.
#54: (4)^2 - 16 = 0. We have two equal, real roots.
Step-by-step explanation:
EXAMPLE OF SURFACE AREA
1/2 × (30×4) × 39 + (30×30)
= 60 × 39 + 900
= 2340 + 900
= 3240
Answer:
suman is 15 and renu is 30 anita is 24
Step-by-step explanation:
15+30+24+69
